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Finding the Fourth Proportional to 3,580.43, 5,374.29 and 2,406.74

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Solution

The fourth proportional to 3,580.43, 5,374.29 and 2,406.74 is: 3,612.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,580.43 : 5,374.29 = 2,406.74 : x
  2. Step 2: Convert to fraction form
    3,580.43/5,374.29 = 2,406.74/x
  3. Step 3: Cross multiply
    3,580.43x = 5,374.29 × 2,406.74
  4. Step 4: Simplify right side
    3,580.43x = 12,934,518.71
  5. Step 5: Solve for x
    x = 12,934,518.71/3,580.43
  6. Step 6: Final answer
    x = 3,612.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.